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Finding the Third Proportional to 97,231 and 233,964.75

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Solution

The third proportional to 97,231 and 233,964.75 is: 562,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,231 : 233,964.75 = 233,964.75 : x
  2. Step 2: Convert to fraction form
    97,231/233,964.75 = 233,964.75/x
  3. Step 3: Cross multiply
    97,231x = 233,964.75 × 233,964.75
  4. Step 4: Simplify right side
    97,231x = 54,739,504,242.56
  5. Step 5: Solve for x
    x = 54,739,504,242.56/97,231
  6. Step 6: Final answer
    x = 562,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.